Bell Work 1/20/15

11. 3, 5 , 8

3y x

1x 1y

1 1y y m x x

22. 4, 7 , 1

3y x

1x 1y

Write in slope-intercept form the equation of the line passing through the given point and PERPENDICULAR to the given line.

1 1y y m x x

Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

Relations and Functions

04/19/23

Heading

TSWBAT: tell if a relation is a function or not.

Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.

4.2

Notes

• Relation= Any set of ordered pairs.

• EVERYTHING is a relation.• ALL ordered pairs and ALL lines.

• Function= A relation where for every input there is

exactly one output.

• Every function is a relation.

• Domain (the inputs)= all of the x-values of an ordered pair.

• Range (the outputs)= all of the y-values of an ordered pair.

NotesFunction or not?

Ex. Ex. Ex. Ex.

Function Not a Function

Not a Function

Function

Now you try.

D R D R D R D R

NotesExpress each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?

Ex.

3, 4 , 1, 2 , 2, 2 , 5, 1

3 41 22 25 1

3

1

2

5

4

2

2

1

3, 1, 2, 5 4, 2, 2, 1

NotesExpress each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?

Ex.

2, 3 , 0, 5 , 4, 3 , 5, 2

2 30 54 35 2

2

0

4

5

3

5

2

2, 0, 4, 5 3, 5, 2

Notes

Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?

Ex.

5, 2 , 3, 4 , 3, 1 , 4, 4

5 23 43 14 4

5

3

4

2

4

1

4

5, 3, 4 2, 4, 1, 4

Now you try.

Notes• Vertical Line Test

= A graph is a function if no vertical line touches more than one point.

Ex.Function or not?

Run a vertical line through the entire graph.

Do I ever hit the graph more than once?

Not a Function

Notes

Ex.

Function or not?

Function

Now you try.

Ex.

Function

Notes

Ex.

Function or not?

Not a Function

Now you try.

Ex.

Not a Function

Summary

Everything is a _______. A function is a relation that for every input there is only ____ output. With a graph, all you have to do is use the Vertical Line ____ to determine if something is a ________.

relationone

Testfunction

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?

3, 5 , 3, 1 , 3, 2 , 3, 5

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.

• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 4.2

Function or not? 4. 6.

Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?

1. 2, 5 , 0, 3 , 2,4 , 5, 3

2. 4, 3 , 3, 1 , 3, 1 , 5, 2

3. 4, 2 , 2, 5 , 3,4 , 3, 2

5.